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20397243071688 = 2337241971518831
BaseRepresentation
bin1001010001101000110100…
…11011010111110011001000
32200012221211221101101222120
410220310122123113303020
510133142023211243223
6111214210351451240
74203436461305010
oct450643233276310
980187757341876
1020397243071688
116554470a6038a
122355157526b20
13b4c5b46c5842
1450733620cc40
152558a4701be3
hex128d1a6d7cc8

20397243071688 has 128 divisors (see below), whose sum is σ = 58580034416640. Its totient is φ = 5797613952000.

The previous prime is 20397243071687. The next prime is 20397243071773. The reversal of 20397243071688 is 88617034279302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20397243071687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39054433 + ... + 39573263.

It is an arithmetic number, because the mean of its divisors is an integer number (457656518880).

Almost surely, 220397243071688 is an apocalyptic number.

20397243071688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20397243071688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29290017208320).

20397243071688 is an abundant number, since it is smaller than the sum of its proper divisors (38182791344952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20397243071688 is a wasteful number, since it uses less digits than its factorization.

20397243071688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520059 (or 520055 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 20397243071688 in words is "twenty trillion, three hundred ninety-seven billion, two hundred forty-three million, seventy-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 723 964 971 1446 1687 1928 1942 2892 2913 3374 3884 5061 5784 5826 6748 6797 7768 10122 11652 13496 13594 20244 20391 23304 27188 40488 40782 54376 81564 163128 234011 468022 518831 702033 936044 1037662 1404066 1556493 1638077 1872088 2075324 2808132 3112986 3276154 3631817 4150648 4914231 5616264 6225972 6552308 7263634 9828462 10895451 12451944 13104616 14527268 19656924 21790902 29054536 39313848 43581804 87163608 125038271 250076542 375114813 500153084 503784901 750229626 875267897 1000306168 1007569802 1500459252 1511354703 1750535794 2015139604 2625803691 3000918504 3022709406 3501071588 3526494307 4030279208 5251607382 6045418812 7002143176 7052988614 10503214764 10579482921 12090837624 14105977228 21006429528 21158965842 28211954456 42317931684 84635863368 121412161141 242824322282 364236483423 485648644564 728472966846 849885127987 971297289128 1456945933692 1699770255974 2549655383961 2913891867384 3399540511948 5099310767922 6799081023896 10198621535844 20397243071688